Determine the magnitude of the electric field at a point located 4 cm away from a line charge with a density of 2 10⁻⁶ C m ⁻¹ .

Step-by-step solution

The electric field due to an infinite line charge at a distance r is given by the formula: E = 2 ₀ r = 2k r Given: Linear charge density, = 2 10⁻⁶ C m ⁻¹ Distance, r = 4 cm = 4 10⁻² m Coulomb's constant, k = 9 10^9 N m ^2 C ⁻² Substituting the values into the formula: E = 2 9 10^9 2 10⁻⁶ 4 10⁻² E = 36 10^3 4 10⁻² E = 9 10^5 N C ⁻¹